Notes on fields of characteristic 2.

Characteristic_2.txt

Below you find the links discussed in this video on field of characteristic 2:

https://youtu.be/xxkJru5uPUQ

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https://en.wikipedia.org/wiki/Field_(mathematics)

https://en.wikipedia.org/wiki/Characteristic_(algebra)

>The finite field GF(pn) has characteristic p.

>2X=0 or -X=+X, 
>
>i.e. there is no substrctions (because substraction becomes addition) and you can't devide by 2 (=zero).
>
>Put differentilty, X\mapsto -X becomes identity.
>
>And then e.g. X\mapsto X^2 now has only one fixed point, because both X and (-1)*X are actually the same

https://mathoverflow.net/questions/915/is-there-a-high-concept-explanation-for-why-characteristic-2-is-special

https://math.stackexchange.com/questions/1573308/whats-so-special-about-characteristic-2

https://en.wikipedia.org/wiki/Modular_arithmetic

https://en.wikipedia.org/wiki/Field_with_one_element

https://en.wikipedia.org/wiki/Finite_field

https://en.wikipedia.org/wiki/Finite_field#Frobenius_automorphism_and_Galois_theory

https://en.wikipedia.org/wiki/Freshman%27s_dream

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"Simple group of order two"-Song

https://www.youtube.com/results?search_query=finite+simple+group+of+order+two